24xy-xy^3+x^2=0

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Solution for 24xy-xy^3+x^2=0 equation:


Simplifying
24xy + -1xy3 + x2 = 0

Solving
24xy + -1xy3 + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(24y + -1y3 + x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(24y + -1y3 + x)' equal to zero and attempt to solve: Simplifying 24y + -1y3 + x = 0 Reorder the terms: x + 24y + -1y3 = 0 Solving x + 24y + -1y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-24y' to each side of the equation. x + 24y + -24y + -1y3 = 0 + -24y Combine like terms: 24y + -24y = 0 x + 0 + -1y3 = 0 + -24y x + -1y3 = 0 + -24y Remove the zero: x + -1y3 = -24y Add 'y3' to each side of the equation. x + -1y3 + y3 = -24y + y3 Combine like terms: -1y3 + y3 = 0 x + 0 = -24y + y3 x = -24y + y3 Simplifying x = -24y + y3

Solution

x = {0, -24y + y3}

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